What is the Least Common Multiple of 68190 and 68210?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 68190 and 68210 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68190 and 68210, than apply into the LCM equation.

GCF(68190,68210) = 10
LCM(68190,68210) = ( 68190 × 68210) / 10
LCM(68190,68210) = 4651239900 / 10
LCM(68190,68210) = 465123990

Least Common Multiple (LCM) of 68190 and 68210 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68190 and 68210. First we will calculate the prime factors of 68190 and 68210.

Prime Factorization of 68190

Prime Factorization of 68210

Now multiplying the highest exponent prime factors to calculate the LCM of 68190 and 68210.

LCM(68190,68210) = 2¹ × 3¹ × 5¹ × 2273¹ × 19¹ × 359¹
LCM(68190,68210) = 465123990